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Finding the Fourth Proportional to 8,242.14, 12,365.01 and 4,542.45

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Solution

The fourth proportional to 8,242.14, 12,365.01 and 4,542.45 is: 6,814.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.14 : 12,365.01 = 4,542.45 : x
  2. Step 2: Convert to fraction form
    8,242.14/12,365.01 = 4,542.45/x
  3. Step 3: Cross multiply
    8,242.14x = 12,365.01 × 4,542.45
  4. Step 4: Simplify right side
    8,242.14x = 56,167,439.67
  5. Step 5: Solve for x
    x = 56,167,439.67/8,242.14
  6. Step 6: Final answer
    x = 6,814.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.